电磁隐形衣材料参数的简单推导方法  

A Simple Derivation Method for Material Parameters of Electromagnetic Invisibility Cloak

作　　者：梅中磊[1] 王辉[1] MEI Zhong-lei;WANG Hui(College of Information Science and Engineering,Lanzhou University,Lanzhou 730000,China)

机构地区：[1]兰州大学信息科学与工程学院,兰州730000

出　　处：《微波学报》2023年第2期1-5,共5页Journal of Microwaves

基　　金：国家重点研发计划(2019YFA0405403);甘肃省自然科学基金(20JR10RA604)。

摘　　要：在应用光学变换理论的过程中,往往牵涉到正交坐标系下的张量转换问题,计算比较繁杂。文中利用大学课程“电磁场与电磁波”中正交坐标系的理论,推导得到了电磁隐形衣的材料电磁参数。该方法采用变量替换,并将虚拟空间坐标系下的变量用物理空间的变量表示出来;分析得到虚拟空间中新的坐标系为正交坐标系,并给出相应基矢和拉梅系数;然后将新坐标系下电场(磁场)的旋度方程与物理空间中标准坐标系下的旋度方程对比变形,便可以得到物理空间材料的电磁参数。In the process of applying the optical transformation theory,the tensor transformation problem in the orthogonal coordinate system is often involved,and the calculation is complicated.In this paper,the material electromagnetic parameters of the electromagnetic cloak are derived by using the theory of the orthogonal coordinate system in the university course of"Electromagnetic Field and Electromagnetic Wave".The method adopts variable substitution,and the variables in the virtual space coordinate system are represented by the variables in the physical space;the new coordinate system in the virtual space is an orthogonal coordinate system,and the Lame coefficient of the corresponding base vector is given.By comparing and deforming the curl equation of the electric field(magnetic field)in the coordinate system and the curl equation in the standard coordinate system in the physical space,the electromagnetic parameters of the material in the physical space can be obtained.

关 键 词：球形隐形衣 坐标变换 正交坐标系 电磁参数 

分 类 号：O441.4[理学—电磁学]